What is the equation if the horizontal line that passes through (5,-6)

There are 52 cards in a deck, and 13 of them are hearts. Four cards are dealt, one at a time, off the top of a well-shuffled dec

irga5000 [103]

Answer:

10.97%

Step-by-step explanation:

There are 52 cards.

13 of them, are hearts.

Then

52 - 13 = 39 cards are not hearts.

4 cards are drawn, we want to find the percent chance that the fourth card is a heart card, but no before.

So the first card can't be a heart card.

because the deck is well-shuffled, all the cards have the same probability of being drawn.

Then the probability of not getting a heart card, is equal to the quotient between the number of non-heart cards (39) and the total number of cards (52), then the probability is:

p₁ = 39/52

The second card also can't be a heart card, the probability is calculated in the same way than above, but now there are 38 non-heart cards and a total of 51 cards (because one card was already drawn) then the probability here is:

p₂ = 38/51

For the third card the reasoning is similar to the two above cases, here the probability is:

p₃ = 37/50

The fourth card should be a hearts card, the probability is computed in the same way than above, as the quotient between the number of heart cards in the deck (13) and the total number of cards in the deck (now there are 49 cards)

then the probability is:

p₄ = 13/49

The joint probability (the probability of these 4 events happening together) is equal to the product between the individual probabilities:

P = p₁*p₂*p₃*p₄

P = (39/52)*(38/51)*(37/50)*(13/49) = 0.1097

The percent chance is the above number times 100%

Percent = 0.1097*100% = 10.97%

3 0

3 years ago

14. f(x) = -x4 + x² + 4; x = -1

natali 33 [55]

Answer:

f(-1) = 4

Step-by-step explanation:

See below for the synthetic division tableau. The remainder is 4, hence ...

f(-1) = 4

___

IMO, in this function it is far easier just to substitute -1 for x. Since the only terms are of even degree, the value of f(-1) is the sum of the coefficients:

f(-1) = -1 +1 +4

f(-1) = 4

5 0

3 years ago

Help please asp what does this equal:<br> 1/5.1/5.1/5

motikmotik

Answer:

0.00768935024

((1/5.1)/5.1)/5 = 0

(0.19607843/5.1)/5 = 0

0.03844675/5 = 0

0.00768935 = 0

5 0

2 years ago

The measure of A is 90°. Angles A and B are supplementary. What is mB?

Umnica [9.8K]

Answer:

B. 90

Step-by-step explanation:

Since the two angles are supplementary, this means they both are on a flat line (180 degrees)

Since both A and B add up to 180, we take that number and subtract A (90) to get our answer: 90 degrees

3 0

3 years ago

Read 2 more answers

Ten pairs of data yield r = 0.003 and the regression equation =2+3x Also, the mean = 5 What is the best predicted value of y for

Olenka [21]

Answer:

$\hat y(2)=2 +3(2) =8$

C 8.0

Step-by-step explanation:

Assuming the linear model y=mx+b where m is the slope and b the intercept.

For this case the slope with the following formula:

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

$b=\bar y -m \bar x$

After the calculations we see that m=3 and b=2 from the info given by the linear model.

For this case we have the equation obtained by least squares given by:

$\hat y =2 +3x$

Where 2 represent the intercept and 3 the slope. We are interested on the best predicted value of y when x=2.

If we see our linear model we have the equation in terms of y and x. So we can replace directly the value of x=2 into the equation and see what we got:

$\hat y(2)=2 +3(2) =8$

5 0

3 years ago